Circumference of An Ellipse
The circumference of an ellipse is more difficult to calculate than that of a circle. It involves higher order mathematics. The circumference and diameters of an ellipse are not related in the simple, linear manner of a circle. The exact measurement requires using advanced calculus to find the complete elliptic integral of the second kind. This can be achieved either via numerical integration or binomial series expansions.
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Famous quotes containing the words circumference of and/or ellipse:
“A fact is the end or last issue of spirit. The visible creation is the terminus or the circumference of the invisible world.”
—Ralph Waldo Emerson (1803–1882)
“Mankind is not a circle with a single center but an ellipse with two focal points of which facts are one and ideas the other.”
—Victor Hugo (1802–1885)